TL;DR
This paper explores the often overlooked infrared divergences caused by zero modes in entanglement entropy calculations, highlighting their significance and impact through a harmonic oscillator chain example.
Contribution
It emphasizes the importance of properly handling zero modes in entanglement entropy and demonstrates their effect on entropy scaling with a specific 1D harmonic chain model.
Findings
Zero modes can cause infrared divergences in entanglement entropy.
A mass regulator is necessary to manage zero mode divergences.
Zero modes influence the UV-scaling behavior of entanglement entropy.
Abstract
Ultraviolet divergences are widely discussed in studies of entanglement entropy. Also present, but much less understood, are infrared divergences due to zero modes in the field theory. In this note, we discuss the importance of carefully handling zero modes in entanglement entropy. We give an explicit example for a chain of harmonic oscillators in 1D, where a mass regulator is necessary to avoid an infrared divergence due to a zero mode. We also comment on a surprising contribution of the zero mode to the UV-scaling of the entanglement entropy.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.